# Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field

## Abstract

In this article, the dynamics of quantum correlation and coherence for two atoms interacting with a bath of fluctuating massless scalar field in the Minkowski vacuum is investigated. We firstly derive the master equation that describes the system evolution with initial Bell-diagonal state. Then we discuss the system evolution for three cases of different initial states: non-zero correlation separable state, maximally entangled state and zero correlation state. For non-zero correlation initial separable state, quantum correlation and coherence can be protected from vacuum fluctuations during long time evolution when the separation between the two atoms is relatively small. For maximally entangled initial state, quantum correlation and coherence overall decrease with evolution time. However, for the zero correlation initial state, quantum correlation and coherence are firstly generated and then drop with evolution time; when separation is sufficiently small, they can survive from vacuum fluctuations. For three cases, quantum correlation and coherence first undergo decline and then fluctuate to relatively stable values with the increasing distance between the two atoms. Specially, for the case of zero correlation initial state, quantum correlation and coherence occur periodically revival at fixed zero points and revival amplitude declines gradually with increasing separation of two atoms.

- Authors:

- School of Economics and Management, Wuyi University, Jiangmen 529020 (China)
- College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642 (China)

- Publication Date:

- OSTI Identifier:
- 22617476

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUCTUATIONS; MINKOWSKI SPACE; QUANTUM DECOHERENCE; QUANTUM ENTANGLEMENT; SCALAR FIELDS

### Citation Formats

```
Huang, Zhiming, E-mail: 465609785@qq.com, and Situ, Haozhen, E-mail: situhaozhen@gmail.com.
```*Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.01.008.

```
Huang, Zhiming, E-mail: 465609785@qq.com, & Situ, Haozhen, E-mail: situhaozhen@gmail.com.
```*Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field*. United States. doi:10.1016/J.AOP.2017.01.008.

```
Huang, Zhiming, E-mail: 465609785@qq.com, and Situ, Haozhen, E-mail: situhaozhen@gmail.com. Wed .
"Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field". United States.
doi:10.1016/J.AOP.2017.01.008.
```

```
@article{osti_22617476,
```

title = {Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field},

author = {Huang, Zhiming, E-mail: 465609785@qq.com and Situ, Haozhen, E-mail: situhaozhen@gmail.com},

abstractNote = {In this article, the dynamics of quantum correlation and coherence for two atoms interacting with a bath of fluctuating massless scalar field in the Minkowski vacuum is investigated. We firstly derive the master equation that describes the system evolution with initial Bell-diagonal state. Then we discuss the system evolution for three cases of different initial states: non-zero correlation separable state, maximally entangled state and zero correlation state. For non-zero correlation initial separable state, quantum correlation and coherence can be protected from vacuum fluctuations during long time evolution when the separation between the two atoms is relatively small. For maximally entangled initial state, quantum correlation and coherence overall decrease with evolution time. However, for the zero correlation initial state, quantum correlation and coherence are firstly generated and then drop with evolution time; when separation is sufficiently small, they can survive from vacuum fluctuations. For three cases, quantum correlation and coherence first undergo decline and then fluctuate to relatively stable values with the increasing distance between the two atoms. Specially, for the case of zero correlation initial state, quantum correlation and coherence occur periodically revival at fixed zero points and revival amplitude declines gradually with increasing separation of two atoms.},

doi = {10.1016/J.AOP.2017.01.008},

journal = {Annals of Physics},

number = ,

volume = 377,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2017},

month = {Wed Feb 15 00:00:00 EST 2017}

}